Modification and error analysis of an adaptive collocation method for solving delay differential equations

	Modification and error analysis of an adaptive collocation method for solving delay differential equations
International Journal of Nonlinear Analysis and Applications
مقاله 11، دوره 16، شماره 7، مهر 2025، صفحه 136-150 اصل مقاله (599.72 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.28395.3878
نویسنده
Ali Davari^*
Department of Mathematics, Khansar Campus, University of Isfahan, Iran
چکیده
In this paper, we introduce an effective multistep collocation method for solving delay differential equations (DDEs) with constant delays. We determine the convergence properties of the proposed method for delay differential equations with solutions in appropriate Sobolev spaces and show that the proposed scheme enjoys spectral accuracy. Numerical results show that the proposed method can be implemented efficiently and accurately for various DDE model problems.
کلیدواژه‌ها
Delay differential equations؛ Collocation method؛ Spectral accuracy؛ Convergence analysis
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